On a symmetry of the category of integrable modules
نویسندگان
چکیده
Haisheng Li showed that given a module (W,YW (·, x)) for a vertex algebra (V, Y (·, x)), one can obtain a new V -module W = (W,YW (Δ(x)·, x)) if Δ(x) satisfies certain natural conditions. Li presented a collection of such Δ-operators for V = L(k, 0) (a vertex operator algebra associated with an affine Lie algebra, k a positive integer). In this paper, for each irreducible L(k, 0)-module W , we find a highest weight vector of W when Δ is associated with a minuscule coweight. From this we completely determine the action of these Δ-operators on the set of isomorphism equivalence classes of L(k, 0)-modules.
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